Search a number
-
+
1124448 = 253131753
BaseRepresentation
bin100010010100001100000
32010010110020
410102201200
5241440243
640033440
712362163
oct4224140
92103406
101124448
116a88a6
12462880
13304a70
14213ada
15173283
hex112860

1124448 has 96 divisors (see below), whose sum is σ = 3429216. Its totient is φ = 319488.

The previous prime is 1124443. The next prime is 1124449. The reversal of 1124448 is 8444211.

1124448 is nontrivially palindromic in base 11.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 10.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1124441) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 21190 + ... + 21242.

It is an arithmetic number, because the mean of its divisors is an integer number (35721).

21124448 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1124448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1714608).

1124448 is an abundant number, since it is smaller than the sum of its proper divisors (2304768).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1124448 is a wasteful number, since it uses less digits than its factorization.

1124448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 88 counting only the distinct ones).

The product of its digits is 1024, while the sum is 24.

The square root of 1124448 is about 1060.3999245568. The cubic root of 1124448 is about 103.9871779064.

Adding to 1124448 its reverse (8444211), we get a palindrome (9568659).

It can be divided in two parts, 112 and 4448, that added together give a triangular number (4560 = T95).

The spelling of 1124448 in words is "one million, one hundred twenty-four thousand, four hundred forty-eight".

Divisors: 1 2 3 4 6 8 12 13 16 17 24 26 32 34 39 48 51 52 53 68 78 96 102 104 106 136 156 159 204 208 212 221 272 312 318 408 416 424 442 544 624 636 663 689 816 848 884 901 1248 1272 1326 1378 1632 1696 1768 1802 2067 2544 2652 2703 2756 3536 3604 4134 5088 5304 5406 5512 7072 7208 8268 10608 10812 11024 11713 14416 16536 21216 21624 22048 23426 28832 33072 35139 43248 46852 66144 70278 86496 93704 140556 187408 281112 374816 562224 1124448